The linear equation representing the number of minutes Denzel still has to practice after x days is y = 210 - 30x.
To represent the number of minutes Denzel still has to practice after x days, we can use a linear equation based on the given information.
Let y be the number of minutes Denzel still has to practice after x days. Since he practices 30 minutes each day, the total practice time after x days is 30x minutes. Denzel must practice for a total of 210 minutes each week. Therefore, the equation is:
y = 210 - 30x
This equation represents the remaining practice time (y) after x days of practicing 30 minutes each day. The term 210 - 30x accounts for the total practice time and subtracts the time spent practicing.
This is a linear equation because it has a constant rate of change (-30) representing the minutes practiced each day.
In summary, the linear equation is:
y = 210 - 30x